摘要
In this study,we present a new numerical model for crystal growth in a vertical solidification system.This model takes into account the buoyancy induced convective flow and its effect on the crystal growth process.The evolution of the crystal growth interface is simulated using the phase-field method.A semi-implicit lattice kinetics solver based on the Boltzmann equation is employed to model the unsteady incompressible flow.This model is used to investigate the effect of furnace operational conditions on crystal growth interface profiles and growth velocities.For a simple case of macroscopic radial growth,the phase-field model is validated against an analytical solution.The numerical simulations reveal that for a certain set of temperature boundary conditions,the heat transport in the melt near the phase interface is diffusion dominant and advection is suppressed.
基金
supported by the Nonproliferation Research and Engineering(NA-22)program and the Applied Mathematics program of the US DOE Office of Advanced Scientific Computing Research.Computations were performed using the computational resources of the National Energy Research Scientific Computing Center at Lawrence Berkeley National Laboratory and the William R.Wiley Environmental Molecular Sciences Laboratory(EMSL).
